Abstract

Given a straight-line embedded plane graphh G of n edges and a polygon P of m edges, m≤ n, we describe an algorithm for finding all polygons in G that are congruent to P. Our algorithm requires Θ( n log n) time for a CREW PRAM with m processors. This improves upon the O( n 2) time (with m processors) required by the systolic array algorithmm of [7]. We also show the problem is in NC by showing how to implement our algorithm in Θ(log n) time using mn processors.

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